Question

Determine whether the event is impossible, unlikely, equally likely, likely, or certain.

P(heads) when you flip a fair quarter.



(1 point)
Responses

impossible
impossible

unlikely
unlikely

equally likely
equally likely

certain
certain
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Answer 1

When you flip a fair quarter, there are two possible outcomes: heads or tails. Since the quarter is fair, the probability of flipping heads is \( P(\text{heads}) = \frac{1}{2} \).

Given that there is a possibility of getting heads (with a probability of 0.5), the event is not impossible. It's also not certain since it doesn't guarantee heads on every flip. Therefore, since the outcomes of heads and tails are equally likely, the correct classification for the event of flipping heads is:

**equally likely**.